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Finding the Fourth Proportional to 569,444, 785,764.50 and 314,760.56

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Solution

The fourth proportional to 569,444, 785,764.50 and 314,760.56 is: 434,331.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,444 : 785,764.50 = 314,760.56 : x
  2. Step 2: Convert to fraction form
    569,444/785,764.50 = 314,760.56/x
  3. Step 3: Cross multiply
    569,444x = 785,764.50 × 314,760.56
  4. Step 4: Simplify right side
    569,444x = 247,327,674,048.12
  5. Step 5: Solve for x
    x = 247,327,674,048.12/569,444
  6. Step 6: Final answer
    x = 434,331.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.